{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h1>高斯公式<h1>                                                     "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "高斯（Gauss）公式表达了空间闭区域上的三重积分与其边界曲面的曲面积分之间的关系"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "定理1：设空间闭区域 $\\Omega$ 是由分片光滑的闭曲面 $\\Sigma$ 所围成，若函数 P(x,y,z)、Q(x,y,z)与 R(x,y,z)在 $\\Omega$ 上具有一阶连续偏导数，则有\n",
    "\n",
    "\\begin{equation}\n",
    "\\iiint \\limits_{\\Omega}(\\frac{\\partial P}{\\partial x}+\\frac{\\partial Q}{\\partial y}+\\frac{\\partial R}{\\partial z})\\mathrm{d}t = \n",
    "\\oiint \\limits_{\\Sigma} Pdxdy + Qdxdz +Rdydz \\notag\n",
    "\\end{equation}\n",
    "\n",
    "或\n",
    "\n",
    "\\begin{equation}\n",
    "\\iiint \\limits_{\\Omega}(\\frac{\\partial P}{\\partial x}+\\frac{\\partial Q}{\\partial y}+\\frac{\\partial R}{\\partial z})\\mathrm{d}t = \n",
    "\\oiint \\limits_{\\Sigma}(Pcos\\alpha + Qcos\\beta + Rcos\\gamma)dS  \\notag\n",
    "\\end{equation}\n",
    "\n",
    "这里 $\\Sigma$ 是 $\\Omega$ 整个边界曲面的外侧， $cos\\alpha$、$cos\\beta$ 和 $cos\\gamma$ 是 $\\Sigma$ 在(x,y,z)处的法向量的余弦，上述两个公式即是高斯公式。"
   ]
  },
  {
   "attachments": {
    "Desktop Screenshot 2024.12.08 - 00.28.59.33(1).png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "例二(p234)\n",
    "利用高斯公式计算曲面积分\n",
    "\n",
    "$\\begin{equation}\n",
    "\\oiint \\limits_{\\Sigma}(x-y)dxdy + (y-z)xdydz,  \\notag\n",
    "\\end{equation}$\n",
    "\n",
    "其中 $\\Sigma$ 是柱面 $x^2+y^2=1$ 及平面 $z=0,z=3$ 所围成的空间闭合区域 $\\Omega$ 的整个边界曲面的外侧(图11-26)\n",
    "\n",
    "![Desktop Screenshot 2024.12.08 - 00.28.59.33(1).png](<attachment:Desktop Screenshot 2024.12.08 - 00.28.59.33(1).png>)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "利用高斯公式将所给曲面积分转化为三重积分，再利用柱面坐标计算三重积分，得\n",
    "\n",
    "$\\begin{align}\n",
    "\\oiint \\limits_{\\Sigma}(x-y)dxdy + (y-z)xdydz \\notag \\\\\n",
    "=\\iiint \\limits_{\\Sigma}(y-z)dxdydz = \\iiint \\limits_{\\Sigma}(\\rho sin\\theta -z)\\rho d\\rho d\\theta dz \\notag\\\\\n",
    "=\\int^{2\\pi}_{0}d\\theta \\int^{1}_{0}\\rho d\\rho \\int^{3}_{0}(\\rho sin\\theta -z)dz \\notag\n",
    "=-\\frac{9\\pi}{2} \\notag\n",
    "\\end{align}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle - \\frac{9 \\pi}{2}$"
      ],
      "text/plain": [
       "-9⋅π \n",
       "─────\n",
       "  2  "
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import sympy\n",
    "from sympy.abc import x,y,z\n",
    "import math\n",
    "x,y,z=sympy.symbols('x y z')\n",
    "P=sympy.Lambda((x,y,z),(y-z)*x)\n",
    "Q=sympy.Lambda((x,y,z),0)\n",
    "R=sympy.Lambda((x,y),x-y) \n",
    "#分析原函数对应高斯公式找出对应P,Q,R函数\n",
    "\n",
    "P.diff(x)\n",
    "Q.diff(y)\n",
    "R.diff(z)\n",
    "#分别求偏导\n",
    "\n",
    "#利用上述三重积分将原式转化成三重积分\n",
    "rho,theta=sympy.symbols('rho theta')\n",
    "ans1=sympy.integrate(rho*sympy.sin(theta)-z,(z,0,3))\n",
    "ans2=sympy.integrate(ans1*rho,(rho,0,1))\n",
    "ans=sympy.integrate(ans2,(theta,0,2*sympy.pi)) #依次计算积分\n",
    "sympy.init_printing()                          #使用sympy表达式打印\n",
    "ans"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "例二(p234)利用高斯公式计算曲面积分\n",
    "$\\begin{equation}\n",
    "\\iint \\limits_{\\Sigma}(x^2 cos\\alpha + y^2 cos\\beta +z^2 cos\\gamma)dS,\n",
    "\\end{equation}$\n",
    "其中 $\\Sigma$ 为锥面 $x^2+y^2=z^2$ 介于平面 $z=0$ 及平面 $z=h(h>0)$ 之间的部分的下侧，$cos\\alpha cos\\beta cos\\gamma$ 是 $\\Sigma$ 在点(x,y,z)处的法向量的余弦。 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>解</b>  因曲面 $\\Sigma$ 不是封闭曲面，故不能直接利用高斯公式，若设 $\\Sigma_1$ 为 $z=h(x^2+y^2 \\leq h^2)$ 的上侧，则 $\\Sigma$ 与 $\\Sigma_1$ 一起构成一个封闭曲面，记它们围成的空间闭区域为 $\\Omega$ ，利用高斯公式，便得到\n",
    "\\begin{split}\n",
    "\\oiint \\limits_{\\Sigma+\\Sigma_1}(x^2 cos \\alpha +y^2 cos \\beta +z^2 cos \\gamma)dS \\notag \\\\\n",
    "=\\iiint \\limits_{\\Omega}(x+y+z)dv =2 \\iint \\limits_{D_{xy}}dxdy \\int^{h}_{\\sqrt{x^2+y^2}}(x+y+z)dz \\notag\n",
    "\\end{split}\n",
    "\n",
    "其中 $D_xy={(x,y)|x^2+y^2 \\leq h^2 } $ 由于积分的对称性\n",
    "\\begin{split}\n",
    "\\iint \\limits_{D_{xy}} dxdy \\int ^{h}_{\\sqrt{x^2+y^2}} (x+y)dz =0  \\notag\n",
    "\\end{split}\n",
    "\n",
    "得到\n",
    "\n",
    "$\\begin{equation}\n",
    "\\oiint \\limits_{\\Sigma+\\Sigma_1}(x^2 cos \\alpha +y^2 cos \\beta +z^2 cos \\gamma)dS = \\iint \\limits_{D_{xy}} (h^2-x^2-y^2)dxdy= \\frac{1}{2}\\pi h^4 \\notag\n",
    "\\end{equation}$\n",
    "\n",
    "而\n",
    "\n",
    "$\\begin{equation}\n",
    "\\iint \\limits_{\\Sigma}(x^2 cos\\alpha + y^2 cos\\beta +z^2 cos\\gamma)dS = \\iint \\limits_{\\Sigma_1} z^2 dS = \\iint \\limits_{D_{xy}} h^2 dxdy = \\pi h^4 \\notag\n",
    "\\end{equation}$\n",
    "\n",
    "因此\n",
    "\n",
    "$\\begin{equation}\n",
    "\\iint \\limits_{\\Sigma}(x^2 cos\\alpha + y^2 cos\\beta +z^2 cos\\gamma)dS = \\frac{1}{2}\\pi h^4 - \\pi h^4 = -\\frac{1}{2}\\pi h^4 \\notag\n",
    "\\end{equation}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle - \\frac{\\pi h^{4}}{2}$"
      ],
      "text/plain": [
       "    4 \n",
       "-π⋅h  \n",
       "──────\n",
       "  2   "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import sympy\n",
    "x,y,z,h,S=sympy.symbols('x y z h S')\n",
    "alpha,beta,gamma=sympy.symbols('alpha beta gamma')\n",
    "rho,theta=sympy.symbols('rho theta')\n",
    "P=sympy.Lambda((x,alpha),x**2*sympy.cos(alpha))\n",
    "Q=sympy.Lambda((y,beta),y**2*sympy.cos(beta))\n",
    "R=sympy.Lambda((z,gamma),z**2*sympy.cos(gamma))\n",
    "P.diff(x)\n",
    "Q.diff(y)\n",
    "R.diff(z)\n",
    "\n",
    "sympy.init_printing()\n",
    "I1=sympy.integrate((h**2-rho**2)*rho,(rho,0,h))\n",
    "I=sympy.integrate(I1,(theta,0,2*sympy.pi))     #将曲面积分转化成极坐标计算\n",
    "\n",
    "T1=sympy.integrate(h**2*rho,(rho,0,h))\n",
    "T=sympy.integrate(T1,(theta,0,2*sympy.pi))\n",
    "\n",
    "ans=I-T\n",
    "ans"
   ]
  }
 ],
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